【摘要】：這篇文章主要討論Banach空間上多值映射的度量次正則性Ioffe [Trans. Amer. Math. Soc.,251(1979), pp.61-69.]在局部Lipschitz實(shí)值函數(shù)的特殊情況下通過(guò)次微分映射給出了度量次正則性的充分條件Zheng與Ng[SIAM J. Optim.,20(2010), pp.2119-2136.]將Ioffe的結(jié)果推廣到一般的多值映射.隨后,Zheng和He [Nonlinear Anal.,100(2014), pp.116-127]又改進(jìn)了Zheng與Ng的結(jié)果.本文又進(jìn)一步改進(jìn)了Zheng和He的結(jié)果,而且在Asplund空間和Frechet光滑的Banach空間的情況下得到更好的充分性條件.
[Abstract]:In this paper, we mainly discuss the metric subregularity Ioffe [Trans.] of multivalued mappings on Banach spaces. Amer. Math. Soc.,251 (1979), pp.61-69.] In the special case of local Lipschitz real value function, the sufficient conditions for metric subregularity of Zheng and Ng [SIAM J. Optim.,20 (2010), pp.2119-2136.] are given by subdifferential mapping. The results of Ioffe are generalized to general multivalued mappings. Then Zheng and He [Nonlinear Anal.,100 (2014), pp.116-127] improved the results of Zheng and Ng. In this paper, we further improve the results of Zheng and He, and obtain better sufficient conditions in the case of Asplund space and Frechet smooth Banach space.
【學(xué)位授予單位】：云南大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2015
【分類(lèi)號(hào)】：O177.2

【參考文獻(xiàn)】

相關(guān)期刊論文 前1條

1 劉新宇;;C++ Lite Memo[J];程序員;2009年04期

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本文編號(hào)：2238145